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Simplifying 6(3x + -5) + 2(3x + -5) + 2(3x + -5) = 0 Reorder the terms: 6(-5 + 3x) + 2(3x + -5) + 2(3x + -5) = 0 (-5 * 6 + 3x * 6) + 2(3x + -5) + 2(3x + -5) = 0 (-30 + 18x) + 2(3x + -5) + 2(3x + -5) = 0 Reorder the terms: -30 + 18x + 2(-5 + 3x) + 2(3x + -5) = 0 -30 + 18x + (-5 * 2 + 3x * 2) + 2(3x + -5) = 0 -30 + 18x + (-10 + 6x) + 2(3x + -5) = 0 Reorder the terms: -30 + 18x + -10 + 6x + 2(-5 + 3x) = 0 -30 + 18x + -10 + 6x + (-5 * 2 + 3x * 2) = 0 -30 + 18x + -10 + 6x + (-10 + 6x) = 0 Reorder the terms: -30 + -10 + -10 + 18x + 6x + 6x = 0 Combine like terms: -30 + -10 = -40 -40 + -10 + 18x + 6x + 6x = 0 Combine like terms: -40 + -10 = -50 -50 + 18x + 6x + 6x = 0 Combine like terms: 18x + 6x = 24x -50 + 24x + 6x = 0 Combine like terms: 24x + 6x = 30x -50 + 30x = 0 Solving -50 + 30x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 30x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + 30x = 0 + 50 30x = 0 + 50 Combine like terms: 0 + 50 = 50 30x = 50 Divide each side by '30'. x = 1.666666667 Simplifying x = 1.666666667
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